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A family of hyperchaotic multi-scroll attractors in Rn

dc.contributor.authorOntañón García Pimentel, Luis Javier
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorJiménez López, Eduardo
dc.contributor.authorBasin, Michael
dc.contributor.editorElsevier
dc.date.accessioned2018-11-15T18:58:14Z
dc.date.available2018-11-15T18:58:14Z
dc.date.issued2014
dc.identifier.citationL.J. Ontañón-García, E. Jiménez-López, E. Campos-Cantón, M. Basin, A family of hyperchaotic multi-scroll attractors in Rn, Applied Mathematics and Computation, Volume 233, 2014, Pages 522-533.
dc.identifier.urihttp://hdl.handle.net/11627/4700
dc.description.abstract"In this work, we present a mechanism how to yield a family of hyperchaotic multi-scroll systems in based on unstable dissipative systems. This class of systems is constructed by a switching control law changing the equilibrium point of an unstable dissipative system. For each equilibrium point presented in the system a scroll emerges. The switching control law that governs the position of the equilibrium point varies according to the number of scrolls displayed in the attractor. Thus, if two systems display different numbers of scrolls, they have different switching control laws. This paper also presents a generalized theory that explains different approaches such as hysteresis and step functions from a unified viewpoint, extending the concept of chaos in to hyperchaotic multi-scroll systems in . An illustrative example of synchronizing a communication system is given based on the developed theory."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSwitched systems
dc.subjectPiecewise-linear techniques
dc.subjectChaos theory
dc.subjectSwitching functions
dc.subjectSystem design
dc.subjectPiecewise-linear analysis
dc.subjectMulti-scroll attractors
dc.subject.classificationMATEMÁTICAS
dc.titleA family of hyperchaotic multi-scroll attractors in Rn
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.amc.2014.01.134
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional